34561410841 has 2 divisors, whose sum is σ = 34561410842. Its totient is φ = 34561410840.

The previous prime is 34561410833. The next prime is 34561410869. The reversal of 34561410841 is 14801416543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34115567616 + 445843225 = 184704^2 + 21115^2 .

It is an emirp because it is prime and its reverse (14801416543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34561410841 - 2³ = 34561410833 is a prime.

It is a super-2 number, since 2×34561410841² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34561410841.

It is not a weakly prime, because it can be changed into another prime (34561410041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17280705420 + 17280705421.

It is an arithmetic number, because the mean of its divisors is an integer number (17280705421).

Almost surely, 2^34561410841 is an apocalyptic number.

It is an amenable number.

34561410841 is a deficient number, since it is larger than the sum of its proper divisors (1).

34561410841 is an equidigital number, since it uses as much as digits as its factorization.

34561410841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 34561410841 in words is "thirty-four billion, five hundred sixty-one million, four hundred ten thousand, eight hundred forty-one".